Discrete and Continuous Dynamical Systems (DCDS-A)


Pages: 659 - 673,    Volume: 24 ,   Issue: 3 ,       July 2009  

Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity

doi:10.3934/dcds.2009.24.659          Full text: (215.7K)
Fengxin Chen - Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, United States (email)

Abstract: The uniqueness and stability of traveling wave solutions for system of nonlocal evolution equations with bistable nonlinearity are established. It is also proved that traveling waves are monotone and exponentially asymptotically stable, up to translation.

Keywords: Stability, traveling waves, nonlocal evolution equations, bistability.
Mathematics Subject Classification: Primary: 35K55, 35Q99.

Received:  February   2008
Revised:   December  2008
Published: April  2009

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